L-p MAPPING PROPERTIES FOR NONLOCAL SCHRODINGER OPERATORS WITH CERTAIN POTENTIALS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Woocheol | - |
dc.contributor.author | Kim, Yong-Cheol | - |
dc.date.accessioned | 2021-09-02T04:19:30Z | - |
dc.date.available | 2021-09-02T04:19:30Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2018-11 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/72022 | - |
dc.description.abstract | In this paper, we consider nonlocal Schrodinger equations with certain potentials V is an element of RHq (q > n/2s > 1 and 0 < s < 1) of the form L(K)u Vu = f in R-n where L-K is an integro-differential operator. We denote the solution of the above equation by S-V f := u, which is called the inverse of the nonlocal Schrodinger operator L-K + V with potential V; that is, S-V = (L-K + V)(-1). Then we obtain an improved version of the weak Harnack inequality of non negative weak subsolutions of the nonlocal equation {L(K)u Vu = 0 in Omega, u = g in R-n \ Omega, where g is an element of H-S(R-n) and Omega is a bounded open domain in R-n with Lipschitz boundary, and also get an improved decay of a fundamental solution e(V) for L-K + V. Moreover, we obtain L-p and L-p - L-q mapping properties of the inverse S-V of the nonlocal Schrodinger operator L-K +V. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | L-p MAPPING PROPERTIES FOR NONLOCAL SCHRODINGER OPERATORS WITH CERTAIN POTENTIALS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
dc.identifier.doi | 10.3934/dcds.2018253 | - |
dc.identifier.scopusid | 2-s2.0-85052587181 | - |
dc.identifier.wosid | 000444156800018 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.38, no.11, pp.5811 - 5834 | - |
dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.volume | 38 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 5811 | - |
dc.citation.endPage | 5834 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Nonlocal Schrodinger operator | - |
dc.subject.keywordAuthor | weak Harnack inequality | - |
dc.subject.keywordAuthor | fundamental solution | - |
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